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Finding the Third Proportional to 652,446 and 1,323,333

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Solution

The third proportional to 652,446 and 1,323,333 is: 2,684,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,446 : 1,323,333 = 1,323,333 : x
  2. Step 2: Convert to fraction form
    652,446/1,323,333 = 1,323,333/x
  3. Step 3: Cross multiply
    652,446x = 1,323,333 × 1,323,333
  4. Step 4: Simplify right side
    652,446x = 1,751,210,228,889
  5. Step 5: Solve for x
    x = 1,751,210,228,889/652,446
  6. Step 6: Final answer
    x = 2,684,069.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.